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Orders of branch points of complete diagonals for Laurent series of rational functions of two variables
https://doi.org/10.26907/0021-3446-2025-9-58-69
Abstract
A rational function of two complex variables and all its Laurent expansions centered at an origin are considered. It is known that the complete diagonal of such an expansion is an algebraic function. The order of a branch point of the diagonal by means of the logarithmic Gauss mapping of a polar curve of the rational function is described.
About the Author
D. Yu. Pochekutov
Siberian Federal University
Russian Federation
Russian Federation
Dmitry Yurevich Pochekutov
79 Svobodny Ave., Krasnoyarsk, 660041
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Review
For citations:
Pochekutov D.Yu. Orders of branch points of complete diagonals for Laurent series of rational functions of two variables. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2025;1(9):58-69. (In Russ.) https://doi.org/10.26907/0021-3446-2025-9-58-69
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